Question

For the following information, determine whether a normal sampling distribution can be used, where p is the population proportion, a is the level of significance, p is the sample proportion, and n is the sample size. If it can be used, test the claim. Claim: p20.47; a = 0.06. Sample statistics : P = 0.40, n = 150 Let q=1-p and let = 1-P. A normal sampling distribution be used here, since v and If a normal sampling distribution can be used, identify the hypotheses for testing the claim. Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. A. Hopa HP (Round to two decimal places as needed.) OB. Hop+H: p= (Round to two decimal places as needed.) OC. Hops H:p> (Round to two decimal places as needed.) OD. Ho: p=, H:p (Round to two decimal places as needed.) O E. Hop Hps (Round to two decimal places as needed.) OF. Ho:p<,HP2 (Round to two decimal places as needed.) OG. A normal sampling distribution cannot be used. If a normal sampling distribution can be used, identify the critical value(s) for this test. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. 2- (Round to two decimal places as needed. Use a comma to separate answers as needed.) OB. A normal sampling distribution cannot be used.

Answer 1

Solution: a) A normal distribution can be used here 5 since mp al 5 and nq 1 > A Ho : P 2 0 13 Ha: pco-47

b) Zo : I critical = Zara -1.56 Rejection region -1.56 C) Z- pop 0.400.4 -1.72 pll-p) 0.47 x0.53 150 dj B Reject the mult hypothesis There is enough evidence to reject the claim.